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Question

When a negative integer is subtracted from another negative integer, the sign of the resulting number is:

A
Depends on the numerical value of the integer
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B
Always positive
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C
Always non-negative
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D
Always negative
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Solution

The correct option is A Depends on the numerical value of the integer
Case 1: Let us consider two negative integers −4 and −5.
−4 − (−5) = −4 + 5
= 1
Here, the difference of two negative numbers gives a positive integer.

Case 2: Now, let us consider two negative integers −3 and −2.
−3 − (−2) = −3 + 2
= −1
Here, the difference between two negative numbers gave a negative integer.

Thus, if a negative integer is subtracted from another negative integer, the result always depends on the numerical values of the integers.

Hence, the correct option is D.

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